In Exercises 9–10 , use matrices A and B from Exercises 7–8 . a. Express each column vector of AA as a linear combination of the column vectors of A . b. Express each column vector of BB as a linear combination of the column vectors of B . In Exercises 7–8 , use the following matrices and either the row method or the column method, as appropriate, to find the indicated row or column. A = [ 3 − 2 7 6 5 4 0 4 9 ] and B = [ 6 − 2 4 0 1 3 7 7 5 ]
In Exercises 9–10 , use matrices A and B from Exercises 7–8 . a. Express each column vector of AA as a linear combination of the column vectors of A . b. Express each column vector of BB as a linear combination of the column vectors of B . In Exercises 7–8 , use the following matrices and either the row method or the column method, as appropriate, to find the indicated row or column. A = [ 3 − 2 7 6 5 4 0 4 9 ] and B = [ 6 − 2 4 0 1 3 7 7 5 ]
In Exercises 9–10, use matrices A and B from Exercises 7–8.
a. Express each column vector of AA as a linear combination of the column vectors of A.
b. Express each column vector of BB as a linear combination of the column vectors of B.
In Exercises 7–8, use the following matrices and either the row method or the column method, as appropriate, to find the indicated row or column.
A
=
[
3
−
2
7
6
5
4
0
4
9
]
and
B
=
[
6
−
2
4
0
1
3
7
7
5
]
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.